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Finding the Fourth Proportional to 257,201.29, 354,933.94 and 142,479.58

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Solution

The fourth proportional to 257,201.29, 354,933.94 and 142,479.58 is: 196,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,201.29 : 354,933.94 = 142,479.58 : x
  2. Step 2: Convert to fraction form
    257,201.29/354,933.94 = 142,479.58/x
  3. Step 3: Cross multiply
    257,201.29x = 354,933.94 × 142,479.58
  4. Step 4: Simplify right side
    257,201.29x = 50,570,838,698.95
  5. Step 5: Solve for x
    x = 50,570,838,698.95/257,201.29
  6. Step 6: Final answer
    x = 196,619.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.